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Finding the Fourth Proportional to 473,691.78, 709,264.44 and 360,834.39

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Solution

The fourth proportional to 473,691.78, 709,264.44 and 360,834.39 is: 540,281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,691.78 : 709,264.44 = 360,834.39 : x
  2. Step 2: Convert to fraction form
    473,691.78/709,264.44 = 360,834.39/x
  3. Step 3: Cross multiply
    473,691.78x = 709,264.44 × 360,834.39
  4. Step 4: Simplify right side
    473,691.78x = 255,927,001,556.09
  5. Step 5: Solve for x
    x = 255,927,001,556.09/473,691.78
  6. Step 6: Final answer
    x = 540,281.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.